{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Brute-Force Matching with **ORB (*Oriented FAST and Rotated BRIEF*)** Descriptors"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Imports"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "OpenCV version: 3.1.0\n"
     ]
    }
   ],
   "source": [
    "import cv2\n",
    "import numpy as np\n",
    "\n",
    "from matplotlib import pyplot as plt\n",
    "\n",
    "print('OpenCV version: {}'.format(cv2.__version__))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Load images"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Query image -> size: 150912 shape: (393, 128, 3)\n",
      "Train image -> size: 2359296 shape: (1024, 768, 3)\n"
     ]
    }
   ],
   "source": [
    "queryImg = cv2.imread(r'logo.png')\n",
    "trainImg = cv2.imread(r'desk.jpg')\n",
    "\n",
    "print('Query image -> size: {} shape: {}'.format(queryImg.size, queryImg.shape))\n",
    "print('Train image -> size: {} shape: {}'.format(trainImg.size, trainImg.shape))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Convert to gray scale"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "grayQuery = cv2.cvtColor(queryImg, cv2.COLOR_BGR2GRAY)\n",
    "grayTrain = cv2.cvtColor(trainImg, cv2.COLOR_BGR2GRAY)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Create ORB detector"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "orb = cv2.ORB_create()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Find keypoints and descriptors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "kpQuery, descQuery = orb.detectAndCompute(grayQuery, None)\n",
    "kpTrain, descTrain = orb.detectAndCompute(grayTrain, None)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Create matcher\n",
    "We create a `BFMatcher` with distance measurement `cv2.NORM_HAMMING` and crossCheck is switched on for better results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Created Brute-Force matcher\n"
     ]
    }
   ],
   "source": [
    "matcher = cv2.BFMatcher(cv2.NORM_HAMMING, crossCheck=True)\n",
    "print('Created Brute-Force matcher')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Match descriptors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "matches = matcher.match(descQuery, descTrain)\n",
    "# Sort it for distance\n",
    "matches = sorted(matches, key=lambda x:x.distance)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Draw points\n",
    " We draw only first 100 matches "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
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BAcFgkP79+xOJRFi8eDEff/wxdXV17jw9gwcffPCfnuf1+0868r1RYCncfvvtx4svvkhZ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\nhgzBH41yys6dTB8zhrLqam766itMwyBqt3PduHEEnU5KTZN7Fi3i627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55Wzbto3777+f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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x8a7ea58>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "result = cv2.drawMatches(grayQuery, kpQuery, grayTrain, kpTrain, matches[:100], \n",
    "                         None, (255, 0, 0), flags=2)\n",
    "cv2.imwrite('coca-cola-res.jpg', result)\n",
    "plt.imshow(result)\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
